Solve for the variable. Show all work. 8 (1 - x) + 36 = - 2 (4x + 24) + 95

This statement is false, there is no variable to make this statement true.

remember that you can do anything to an equation as long as you do it to both sides

8 (1-x) + 36=-2 (4x+24) + 95

distribute

8-8x+36=-8x-48+95

-8x+44=-8x+47

add 8x to both sides

44=47

false

since the variables dissapeared and we were left with a false statement, no value of x will satisfy the equation

x={} (the empty set, no solution)